If Y is a standard Cauchy random variable, show that Y and are identically distributed. Y

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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A random variable X follows a Standard Cauchy Distribution if its pdf is given by
1
, x ER,
π(1+x²)
fx(x) =
=
1
are identically distributed.
If Y is a standard Cauchy random variable, show that Y and
Y
Transcribed Image Text:A random variable X follows a Standard Cauchy Distribution if its pdf is given by 1 , x ER, π(1+x²) fx(x) = = 1 are identically distributed. If Y is a standard Cauchy random variable, show that Y and Y
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